Metrics for rsin A (should all be same)

analyze335.0ms (2.7%)

Memory

-3.8MiB live, 589.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	8
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	9
21.9%	21.8%	78%	0.1%	0%	0%	0%	10
21.9%	21.8%	78%	0.1%	0%	0%	0%	11
23.4%	23.4%	76.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (14.3%)

Memory

45.6MiB live, 2 215.0MiB allocated

Samples

1.0s	5 800×	1	valid
392.0ms	2 456×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 289.0ms (25.7% of total)

ival-cos: 282.0ms (25% of total)

ival-sin: 218.0ms (19.3% of total)

adjust: 142.0ms (12.6% of total)

ival-div: 103.0ms (9.1% of total)

ival-add: 83.0ms (7.4% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess107.0ms (0.9%)

Memory

-1.5MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Rules

692×	`times-frac`
392×	`associate-r`
382×	`unsub-neg`
370×	`div-sub`
360×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	88
1	89	84
2	193	84
3	478	84
4	1399	84
5	2338	84
6	2925	84
7	3299	84
8	3481	84
9	3698	84
10	3927	84
11	3933	84
12	3933	84
13	3941	84
14	3961	84
15	3969	84
16	3969	84
0	8	9
0	13	9
1	17	9
2	20	9
3	21	9
0	21	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

Symmetry

(negabs r)

explain174.0ms (1.4%)

Memory

-27.6MiB live, 266.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
63	126	(2.742036247983564e+23 2.0906386056726476e+133 -2.4347760472003595e-298)	-	`(cos.f64 (+.f64 a b))`
0	0	-	-	`(+.f64 a b)`
0	0	-	-	`(sin.f64 b)`
0	0	-	-	`a`
0	0	-	-	`(*.f64 r (sin.f64 b))`
0	0	-	-	`r`
0	0	-	-	`b`
0	0	-	-	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 a b))`	sensitivity	189	0

Confusion

	Predicted +	Predicted -
+	63	0
-	126	67

Precision

0.3333333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	0
-	126	0	67

Precision?

0.3333333333333333

Recall?

1.0

Freqs

test

number	freq
0	67
1	189

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

85.0ms	358×	1	valid
18.0ms	154×	0	valid

Compiler

Compiled 78 to 36 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-cos: 35.0ms (49.1% of total)

ival-sin: 11.0ms (15.4% of total)

ival-div: 9.0ms (12.6% of total)

adjust: 6.0ms (8.4% of total)

ival-add: 5.0ms (7% of total)

ival-mult: 5.0ms (7% of total)

ival-true: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(cos.f64 (+.f64 a b))
✓	cost-diff	(sin.f64 b)
✓	cost-diff	(*.f64 r (sin.f64 b))
✓	cost-diff	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	17	25
2	20	25
3	21	25
0	21	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize50.0ms (0.4%)

Memory

16.3MiB live, 97.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
✓	accuracy	79.2%	(cos.f64 (+.f64 a b))

Samples

33.0ms	179×	1	valid
6.0ms	77×	0	valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-cos: 8.0ms (33.9% of total)

ival-sin: 6.0ms (25.4% of total)

adjust: 3.0ms (12.7% of total)

ival-add: 2.0ms (8.5% of total)

ival-div: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-14.0MiB live, 23.2MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>

Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	r	@	-inf	(/ (* r (sin b)) (cos (+ a b)))
2.0ms	r	@	0	(/ (* r (sin b)) (cos (+ a b)))
1.0ms	b	@	inf	(/ (* r (sin b)) (cos (+ a b)))
1.0ms	b	@	0	(/ (* r (sin b)) (cos (+ a b)))
1.0ms	r	@	inf	(/ (* r (sin b)) (cos (+ a b)))

simplify397.0ms (3.2%)

Memory

27.7MiB live, 614.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
4 746×	`lower-*.f64`
4 746×	`lower-*.f32`
2 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	960
1	517	928
2	1595	886
3	5409	885
0	8292	853

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))

Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (.f64 (sin.f64 a) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (.f64 r (.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 a))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (-.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 (fma.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (.f64 a (fma.f64 (.f64 r (-.f64 (/.f64 (.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a)) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(.f64 b (fma.f64 (.f64 b b) (fma.f64 r (.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (.f64 b b) (.f64 b #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(.f64 b (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))

rewrite545.0ms (4.4%)

Memory

-130.3MiB live, 608.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 510×	`lower-*.f32`
6 508×	`lower-*.f64`
3 846×	`lower-fma.f64`
3 846×	`lower-fma.f32`
3 176×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 138

Calls

Call 1

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (neg.f64 r))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (.f64 (sin.f64 b) (neg.f64 r)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (sin.f64 b) (.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(.f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 (neg.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (.f64 (sin.f64 b) (neg.f64 r)))
(.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (pow.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (neg.f64 r))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 b) (neg.f64 r))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 b) (neg.f64 r)))
(neg.f64 (*.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 r (sin.f64 b))
(*.f64 r (neg.f64 (sin.f64 (neg.f64 b))))
(.f64 r (.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(.f64 (sin.f64 b) (.f64 r #s(literal 1 binary64)))
(.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b)))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) (neg.f64 r)))
(*.f64 (sin.f64 (neg.f64 b)) (neg.f64 r))
(*.f64 (neg.f64 r) (sin.f64 (neg.f64 b)))
(*.f64 (neg.f64 (sin.f64 (neg.f64 b))) r)
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(sin.f64 b)
(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (neg.f64 (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b)))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (.f64 b b) (-.f64 a b)))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (.f64 a a) (-.f64 b a)))) (.f64 (sin.f64 (/.f64 (.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (.f64 a a) (-.f64 b a)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))))
(cos.f64 (+.f64 b a))
(cos.f64 (/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b)))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 a (-.f64 a b) (.f64 b b))))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (neg.f64 (-.f64 a b))) (-.f64 a b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (/.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (cos.f64 (-.f64 a b))))
(-.f64 (.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (neg.f64 (/.f64 (.f64 b b) (-.f64 a b))))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (neg.f64 (/.f64 (.f64 b b) (-.f64 a b))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (cos.f64 (/.f64 (.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (.f64 a a) (-.f64 b a))) (.f64 (sin.f64 (/.f64 (.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
(/.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval30.0ms (0.2%)

Memory: -0.5MiB live, 79.1MiB allocated
Compiler: Compiled 3 879 to 535 computations (86.2% saved)

prune171.0ms (1.4%)

Memory

-25.9MiB live, 130.9MiB allocated

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	201	32	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	32	234

Accuracy

99.8%

Counts

234 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	35.5%	(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
	78.1%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
▶	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))))
	98.2%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
	99.5%	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶	78.8%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
	54.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
	58.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
	58.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
	59.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
▶	54.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	61.3%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
	56.8%	(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
	52.9%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
	53.0%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
	53.3%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	53.2%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
	53.0%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
	78.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	78.1%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	78.8%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
	78.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
	78.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
▶	78.9%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	78.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	78.9%	(.f64 (sin.f64 (neg.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	78.8%	(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
	35.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
▶	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))

Compiler

Compiled 1 202 to 754 computations (37.3% saved)

simplify199.0ms (1.6%)

Memory

21.6MiB live, 376.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
✓	cost-diff	14528	(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
✓	cost-diff	0	#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
✓	cost-diff	0	(+.f64 b a)
✓	cost-diff	0	(cos.f64 (+.f64 b a))
✓	cost-diff	0	(/.f64 r (cos.f64 (+.f64 b a)))
✓	cost-diff	0	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
✓	cost-diff	0	(cos.f64 a)
✓	cost-diff	0	(*.f64 r b)
✓	cost-diff	0	(/.f64 (*.f64 r b) (cos.f64 a))
✓	cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
✓	cost-diff	0	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))

Rules

4 858×	`lower-*.f32`
4 844×	`lower-*.f64`
3 144×	`lower-fma.f32`
3 142×	`lower-fma.f64`
1 526×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	238
0	62	214
1	104	214
2	189	214
3	405	214
4	1119	214
5	2681	214
6	3196	214
7	3782	214
8	5919	214
0	8250	214

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))
#s(literal 1 binary64)

Outputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
r
b
(cos.f64 a)
a
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(cos.f64 (+.f64 b a))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))
#s(literal 1 binary64)

localize285.0ms (2.3%)

Memory

-6.1MiB live, 448.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
✓	accuracy	99.5%	(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
✓	accuracy	79.3%	(cos.f64 (-.f64 a b))
✓	accuracy	79.2%	(cos.f64 (+.f64 b a))
✓	accuracy	99.8%	(*.f64 b (sin.f64 a))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
✓	accuracy	54.6%	#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
✓	accuracy	100.0%	(sin.f64 b)
✓	accuracy	99.7%	(/.f64 r (cos.f64 (+.f64 b a)))
✓	accuracy	99.6%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
✓	accuracy	79.2%	(cos.f64 (+.f64 b a))
✓	accuracy	100.0%	(*.f64 r b)
✓	accuracy	100.0%	(cos.f64 a)
✓	accuracy	99.8%	(/.f64 (*.f64 r b) (cos.f64 a))
✓	accuracy	53.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
✓	accuracy	99.9%	(*.f64 (cos.f64 a) (cos.f64 b))
✓	accuracy	99.9%	(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))

Samples

200.0ms	179×	1	valid
20.0ms	77×	0	valid

Compiler

Compiled 219 to 34 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-sin: 81.0ms (43% of total)

ival-cos: 43.0ms (22.8% of total)

ival-mult: 21.0ms (11.1% of total)

ival-add: 13.0ms (6.9% of total)

ival-div: 13.0ms (6.9% of total)

adjust: 11.0ms (5.8% of total)

ival-sub: 4.0ms (2.1% of total)

ival-neg: 1.0ms (0.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series93.0ms (0.8%)

Memory

-22.9MiB live, 95.0MiB allocated

Counts

20 → 540

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))>
#<alt (/.f64 (*.f64 r b) (cos.f64 a))>
#<alt (*.f64 r b)>
#<alt (cos.f64 a)>
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))>
#<alt (/.f64 r (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))>
#<alt #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))>
#<alt (.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))>
#<alt (/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))>
#<alt (*.f64 (cos.f64 a) (cos.f64 b))>
#<alt (*.f64 b (sin.f64 a))>
#<alt (cos.f64 (-.f64 a b))>
#<alt (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))>

Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
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#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* a b)>
#<alt (* a (+ b (* -1/6 (* (pow a 2) b))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (cos (neg b))>
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* b (sin a)))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (* (cos b) (cos (neg b)))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (pow (cos a) 2)>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>

Calls

135 calls:

Time	Variable		Point	Expression
25.0ms	a	@	0	(/ (* r b) (cos a))
6.0ms	r	@	0	(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
4.0ms	r	@	0	(/ (* r b) (cos a))
2.0ms	a	@	inf	(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
2.0ms	b	@	inf	(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))

simplify353.0ms (2.9%)

Memory

12.7MiB live, 530.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 322×	`lower-fma.f64`
9 322×	`lower-fma.f32`
7 494×	`lower-*.f64`
7 494×	`lower-*.f32`
1 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	6113
1	1561	5786
2	5321	5621
0	8700	5419

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 533

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(/ r (cos b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (+ a b)))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(/ r (cos (- b (* -1 a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* a b)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(cos (neg b))
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos (neg (+ b (* -1 a))))
(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(* (cos b) (cos (neg b)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(pow (cos a) 2)
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))

Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
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(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (-.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))) (.f64 a (fma.f64 (sin.f64 b) (/.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 r #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))) (cos.f64 b)) (.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))))) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (.f64 a a) (.f64 (cos.f64 b) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b) (.f64 (.f64 (cos.f64 b) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 a a) (*.f64 a a))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (.f64 b b) (.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 b b) (*.f64 b b))))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* a b)
(*.f64 b a)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(.f64 a (fma.f64 (.f64 a a) (*.f64 b #s(literal -1/6 binary64)) b))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(.f64 a (fma.f64 (.f64 a a) (.f64 b (fma.f64 #s(literal 1/120 binary64) (.f64 a a) #s(literal -1/6 binary64))) b))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(.f64 a (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 b (fma.f64 #s(literal -1/5040 binary64) (.f64 a a) #s(literal 1/120 binary64))) (.f64 b #s(literal -1/6 binary64))) b))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(cos (neg b))
(cos.f64 b)
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(fma.f64 (sin.f64 b) a (cos.f64 b))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 b) a))) (sin.f64 b)) (cos.f64 b))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* b (sin a)))
(fma.f64 b (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (fma.f64 b (.f64 #s(literal -1/6 binary64) (sin.f64 a)) (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(* (cos b) (cos (neg b)))
(pow.f64 (cos.f64 b) #s(literal 2 binary64))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))
(fma.f64 a #s(literal 0 binary64) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (*.f64 a (-.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (.f64 a (-.f64 (-.f64 (.f64 a #s(literal 0 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (neg.f64 b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (.f64 b (fma.f64 b (fma.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (sin.f64 a)) (.f64 (cos.f64 a) (.f64 (sin.f64 a) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))

rewrite348.0ms (2.8%)

Memory

5.8MiB live, 543.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 292×	`lower-/.f32`
5 280×	`lower-/.f64`
5 092×	`lower-*.f32`
5 078×	`lower-*.f64`
2 230×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	170
0	62	177
1	226	142
2	1554	134
0	9047	134

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 909

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(cos.f64 a)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
#s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(.f64 (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 b (sin.f64 a))
(cos.f64 (-.f64 a b))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))) (/.f64 (.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (/.f64 (.f64 r (sin.f64 b)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) (neg.f64 r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (neg.f64 (/.f64 (.f64 r (sin.f64 b)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (/.f64 r (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(/.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
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(+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b a) (.f64 a a))))) (.f64 (sin.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (sin.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b a) (.f64 a a))))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 a a) (+.f64 b a))) (cos.f64 (/.f64 (.f64 b b) (+.f64 b a)))) (.f64 (sin.f64 (/.f64 (.f64 a a) (+.f64 b a))) (sin.f64 (/.f64 (.f64 b b) (+.f64 b a)))))
(+.f64 (.f64 (cos.f64 (+.f64 a #s(literal 0 binary64))) (cos.f64 b)) (.f64 (sin.f64 (+.f64 a #s(literal 0 binary64))) (sin.f64 b)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (.f64 #s(literal 0 binary64) (sin.f64 (-.f64 b a))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (-.f64 a b))) #s(literal -1 binary64))))
(cos.f64 (-.f64 a b))
(cos.f64 (-.f64 b a))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(-.f64 (.f64 (cos.f64 b) (cos.f64 (neg.f64 a))) (.f64 (sin.f64 b) (sin.f64 (neg.f64 a))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (cos.f64 (+.f64 b a))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (cos.f64 (+.f64 b a))))
(-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (/.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 b a))))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))
(fma.f64 (cos.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (cos.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (.f64 (sin.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (sin.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b a) (*.f64 a a))))))
(fma.f64 (cos.f64 (/.f64 (.f64 a a) (+.f64 b a))) (cos.f64 (/.f64 (.f64 b b) (+.f64 b a))) (.f64 (sin.f64 (/.f64 (.f64 a a) (+.f64 b a))) (sin.f64 (/.f64 (*.f64 b b) (+.f64 b a)))))
(fma.f64 (cos.f64 (+.f64 a #s(literal 0 binary64))) (cos.f64 b) (*.f64 (sin.f64 (+.f64 a #s(literal 0 binary64))) (sin.f64 b)))
(/.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (neg.f64 (cos.f64 (-.f64 a b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b))))))) (cos.f64 (+.f64 b a)))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) #s(literal -1 binary64))
(*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))
(+.f64 (.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (cos.f64 (+.f64 b a)) (.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 b a))) (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (+.f64 b a))))
(fma.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 b a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (+.f64 b a))))
(fma.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 b) a) (-.f64 a b))) (cos.f64 (-.f64 (-.f64 (neg.f64 b) a) (-.f64 a b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 (+.f64 b a) (-.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a)))))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))
(.f64 (cos.f64 (-.f64 a b)) (.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b a) (-.f64 a b))) (cos.f64 (-.f64 a (+.f64 b (+.f64 b a))))) #s(literal 1/2 binary64))

eval287.0ms (2.3%)

Memory: 47.0MiB live, 499.2MiB allocated
Compiler: Compiled 41 906 to 2 737 computations (93.5% saved)

prune246.0ms (2%)

Memory

-35.1MiB live, 559.3MiB allocated

Pruning

68 alts after pruning (66 fresh and 2 done)

	Pruned	Kept	Total
New	1 748	53	1 801
Fresh	14	13	27
Picked	3	2	5
Done	0	0	0
Total	1 765	68	1 833

Accuracy

100.0%

Counts

1 833 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	78.1%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	78.9%	(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	58.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	58.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	54.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
	62.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b))))
	57.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a))))
	98.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))
	98.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	61.2%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 b)))))
	56.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
▶	61.3%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	62.6%	(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	58.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	58.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
	54.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
▶	59.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
	61.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
	56.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
	53.8%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	52.9%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
	53.0%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
	54.1%	(/.f64 (.f64 r #s(approx (sin b) (.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
	53.9%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.3%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	55.3%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	53.9%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 r #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
	53.2%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
	53.8%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 b (.f64 b #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.0%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
	78.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	78.1%	(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
	54.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))) (.f64 r (sin.f64 b))))
	98.5%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))
	98.4%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))
	78.9%	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
▶	99.5%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	98.3%	(.f64 (/.f64 r (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))) (sin.f64 b))
	98.5%	(.f64 (/.f64 r (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
	99.5%	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	45.3%	(.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
	78.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	53.0%	(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
	31.6%	(.f64 (/.f64 r (cos.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))) (sin.f64 b))
	38.9%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (sin.f64 b))
	64.8%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
	54.3%	(.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) (sin.f64 b))
	59.0%	(.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))) (sin.f64 b))
▶	61.3%	(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
	56.8%	(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
	78.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	78.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
	78.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	35.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	53.4%	#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
✓	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	34.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	33.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	52.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
	28.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
▶	35.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

Compiler

Compiled 3 082 to 1 881 computations (39% saved)

simplify635.0ms (5.1%)

Memory

34.5MiB live, 761.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	320	(.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
✓	cost-diff	384	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
✓	cost-diff	0	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
✓	cost-diff	0	(cos.f64 b)
✓	cost-diff	0	#s(approx (cos (+ b a)) (cos.f64 b))
✓	cost-diff	0	(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
✓	cost-diff	0	(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
✓	cost-diff	0	(*.f64 r b)
✓	cost-diff	0	#s(approx (/ (* r b) (cos a)) (*.f64 r b))
✓	cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
✓	cost-diff	0	(cos.f64 b)
✓	cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
✓	cost-diff	0	(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
✓	cost-diff	0	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))

Rules

26 376×	`lower-fma.f32`
26 374×	`lower-fma.f64`
2 708×	`lower-*.f32`
2 692×	`lower-*.f64`
2 296×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	292
0	79	290
1	122	286
2	210	286
3	446	286
4	728	286
5	851	286
6	969	286
7	1267	286
8	1601	286
9	2262	286
10	3902	286
11	5752	286
12	6624	286
13	6864	286
14	6997	286
15	7043	286
16	7043	286
17	7073	286
18	7079	286
19	7079	286
0	8009	286

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
(sin.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
r
#s(approx (cos (+ b a)) (cos.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
a
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a)))
#s(approx (cos (- a b)) (cos.f64 b))
(cos.f64 b)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))
#s(literal 1 binary64)
(cos.f64 (-.f64 a b))
(-.f64 a b)

Outputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
(sin.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
r
#s(approx (cos (+ b a)) (cos.f64 b))
(cos.f64 b)
b
(sin.f64 b)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(cos.f64 b)
(*.f64 (sin.f64 b) a)
(*.f64 a (sin.f64 b))
a
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 (.f64 r (sin.f64 b)) (cos.f64 (-.f64 a b))) (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(/.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (cos.f64 (-.f64 a b)))
(*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a)))
#s(approx (cos (- a b)) (cos.f64 b))
(cos.f64 b)
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))
#s(literal 1 binary64)
(cos.f64 (-.f64 a b))
(-.f64 a b)

localize267.0ms (2.2%)

Memory

2.2MiB live, 415.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a)))
✓	accuracy	79.3%	(cos.f64 (-.f64 a b))
✓	accuracy	79.2%	(cos.f64 (+.f64 b a))
✓	accuracy	56.2%	#s(approx (cos (- a b)) (cos.f64 b))
✓	accuracy	99.8%	(*.f64 (sin.f64 b) a)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
✓	accuracy	53.6%	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
✓	accuracy	100.0%	(cos.f64 b)
✓	accuracy	99.7%	(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
✓	accuracy	99.6%	(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
✓	accuracy	56.0%	#s(approx (cos (+ b a)) (cos.f64 b))
✓	accuracy	100.0%	(*.f64 r b)
✓	accuracy	63.8%	#s(approx (/ (* r b) (cos a)) (*.f64 r b))
✓	accuracy	53.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
✓	accuracy	99.8%	(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
✓	accuracy	99.7%	(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
✓	accuracy	99.7%	(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
✓	accuracy	99.6%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))

Samples

172.0ms	179×	1	valid
22.0ms	77×	0	valid

Compiler

Compiled 245 to 38 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 49.0ms (30.2% of total)

ival-cos: 41.0ms (25.3% of total)

ival-div: 25.0ms (15.4% of total)

ival-sin: 18.0ms (11.1% of total)

adjust: 16.0ms (9.9% of total)

ival-add: 8.0ms (4.9% of total)

ival-sub: 4.0ms (2.5% of total)

ival-neg: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory

-15.9MiB live, 62.8MiB allocated

Counts

22 → 600

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))>
#<alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))>
#<alt (cos.f64 b)>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))>
#<alt #s(approx (/ (* r b) (cos a)) (*.f64 r b))>
#<alt (*.f64 r b)>
#<alt (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))>
#<alt (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))>
#<alt #s(approx (cos (+ b a)) (cos.f64 b))>
#<alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))>
#<alt (/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))>
#<alt (.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))>
#<alt (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))>
#<alt (*.f64 (sin.f64 b) a)>
#<alt #s(approx (cos (- a b)) (cos.f64 b))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (cos.f64 (-.f64 a b))>
#<alt (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a)))>

Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (cos b))>
#<alt (+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
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#<alt (cos (neg b))>
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* b (sin a)))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (neg b))>
#<alt (+ (cos (neg b)) (* -1 (* a (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))>
#<alt (+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos (neg (+ b (* -1 a))))>
#<alt (cos a)>
#<alt (+ (cos a) (* b (sin a)))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (- a b))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (cos (+ a (* -1 b)))>
#<alt (* (cos b) (cos (neg b)))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))>
#<alt (+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))>
#<alt (pow (cos a) 2)>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a b)) (cos (- a b)))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>
#<alt (* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))>

Calls

150 calls:

Time	Variable		Point	Expression
9.0ms	b	@	-inf	(* (sin b) a)
3.0ms	r	@	-inf	(/ r (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
1.0ms	a	@	0	(/ r (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
1.0ms	b	@	-inf	(/ r (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))
1.0ms	a	@	-inf	(/ r (+ (* (cos b) (cos a)) (* (sin (neg b)) (sin a))))

simplify422.0ms (3.4%)

Memory

17.6MiB live, 642.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 560×	`lower-fma.f64`
10 560×	`lower-fma.f32`
7 080×	`lower-*.f64`
7 080×	`lower-*.f32`
2 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	7388
1	1669	7030
2	5902	6791
0	8464	6563

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 599

Calls

Call 1

Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ r (cos b))
(+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(cos b)
(+ (cos b) (* a (sin (neg b))))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(cos b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(/ (* b r) (cos a))
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(* b r)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
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(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(pow (cos a) 2)
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a b)) (cos (- a b)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))

Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 b (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 (sin.f64 a) (/.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)))) (neg.f64 b) (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (.f64 r (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64))))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 a (fma.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 b) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64)))) (cos.f64 b))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 b (fma.f64 b (fma.f64 (neg.f64 b) (fma.f64 (-.f64 (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b)))
(fma.f64 (*.f64 r a) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (.f64 a (fma.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 r (sin.f64 b))) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)) #s(literal 1/2 binary64))) (cos.f64 b))) (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 b)))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(* -1 (* b (sin a)))
(neg.f64 (*.f64 b (sin.f64 a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(.f64 b (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(.f64 b (fma.f64 (.f64 b b) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 a))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(.f64 b (fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (.f64 b b) #s(literal -1 binary64)) (.f64 (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (.f64 b b) (.f64 b b)))))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* a (sin (neg b)))
(neg.f64 (*.f64 (sin.f64 b) a))
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))
(.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))
(.f64 a (fma.f64 (.f64 a a) (.f64 (sin.f64 (neg.f64 b)) (fma.f64 (.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 (neg.f64 b))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))
(.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)) (.f64 (.f64 (sin.f64 (neg.f64 b)) (fma.f64 (.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 a a) (.f64 a a)))))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* a b)
(*.f64 b a)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(.f64 b (fma.f64 b (.f64 b (*.f64 a #s(literal -1/6 binary64))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (.f64 a #s(literal 1/120 binary64))) (*.f64 a #s(literal -1/6 binary64))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 a (.f64 (.f64 b b) #s(literal -1/5040 binary64)) (.f64 a #s(literal 1/120 binary64)))) (*.f64 a #s(literal -1/6 binary64))) a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(cos (neg b))
(cos.f64 b)
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(fma.f64 (sin.f64 b) a (cos.f64 b))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 b) a) (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* b (sin a)))
(fma.f64 b (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (sin.f64 a)) (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (.f64 a (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 a (.f64 (cos.f64 b) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (neg b))
(cos.f64 b)
(+ (cos (neg b)) (* -1 (* a (sin (neg b)))))
(fma.f64 (sin.f64 b) a (cos.f64 b))
(+ (cos (neg b)) (* a (- (* -1/2 (* a (cos (neg b)))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (*.f64 (cos.f64 b) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(+ (cos (neg b)) (* a (- (* a (+ (* -1/2 (cos (neg b))) (* 1/6 (* a (sin (neg b)))))) (sin (neg b)))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 b) a) (.f64 (cos.f64 b) #s(literal -1/2 binary64))) (sin.f64 b)) (cos.f64 b))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos (neg (+ b (* -1 a))))
(cos.f64 (-.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* b (sin a)))
(fma.f64 b (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 b (sin.f64 a)) (.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (- a b))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 b a))
(* (cos b) (cos (neg b)))
(pow.f64 (cos.f64 b) #s(literal 2 binary64))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (* -1 (* (cos (neg b)) (sin b))))) (* (cos b) (cos (neg b))))
(fma.f64 a #s(literal 0 binary64) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (* (sin b) (sin (neg b)))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (*.f64 a (-.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(+ (* a (+ (* -1 (* (cos b) (sin (neg b)))) (+ (* -1 (* (cos (neg b)) (sin b))) (* a (+ (* -1 (* (cos b) (cos (neg b)))) (+ (* a (+ (* 1/6 (* (cos b) (sin (neg b)))) (+ (* 1/6 (* (cos (neg b)) (sin b))) (+ (* 1/2 (* (cos b) (sin (neg b)))) (* 1/2 (* (cos (neg b)) (sin b))))))) (* (sin b) (sin (neg b))))))))) (* (cos b) (cos (neg b))))
(fma.f64 a (.f64 a (-.f64 (-.f64 (.f64 a #s(literal 0 binary64)) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (neg (+ b (* -1 a)))) (cos (- b (* -1 a))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (* (cos a) (sin a)))) (pow (cos a) 2))
(+.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (* -1 (pow (sin a) 2)))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (neg.f64 b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(+ (* b (+ (* -1 (* (cos a) (sin a))) (+ (* b (+ (* -1 (pow (cos a) 2)) (+ (* -1 (pow (sin a) 2)) (* b (+ (* -1/2 (* (cos a) (sin a))) (+ (* -1/6 (* (cos a) (sin a))) (+ (* 1/6 (* (cos a) (sin a))) (* 1/2 (* (cos a) (sin a)))))))))) (* (cos a) (sin a))))) (pow (cos a) 2))
(fma.f64 b (.f64 b (fma.f64 b (fma.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (sin.f64 a)) (.f64 (cos.f64 a) (.f64 (sin.f64 a) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a b)) (cos (- a b)))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))
(* (cos (+ a (* -1 b))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))

rewrite415.0ms (3.4%)

Memory

6.8MiB live, 642.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 284×	`lower-/.f32`
5 274×	`lower-/.f64`
4 642×	`lower-*.f32`
4 626×	`lower-*.f64`
2 196×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	234
0	79	235
1	256	193
2	1667	193
0	8656	193

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 590

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (*.f64 r b))
(*.f64 r b)
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ b a)) (cos.f64 b)))
#s(approx (cos (+ b a)) (cos.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))
(*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 b) a)
#s(approx (cos (- a b)) (cos.f64 b))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 a b))
(*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
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(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 (neg.f64 b))) (sin.f64 a))))))
(pow.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) #s(literal -1 binary64))
(*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))))))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (cos.f64 (+.f64 b a)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 #s(approx (cos (- a b)) (cos.f64 b)) (.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64)))
(*.f64 (cos.f64 (+.f64 b a)) #s(approx (cos (- a b)) (cos.f64 b)))
(.f64 (cos.f64 (+.f64 b a)) (.f64 #s(approx (cos (- a b)) (cos.f64 b)) #s(literal 1 binary64)))
(.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))))

eval188.0ms (1.5%)

Memory: -11.8MiB live, 472.6MiB allocated
Compiler: Compiled 28 312 to 2 303 computations (91.9% saved)

prune230.0ms (1.9%)

Memory

18.3MiB live, 619.8MiB allocated

Pruning

86 alts after pruning (80 fresh and 6 done)

	Pruned	Kept	Total
New	1 279	35	1 314
Fresh	16	45	61
Picked	1	4	5
Done	0	2	2
Total	1 296	86	1 382

Accuracy

100.0%

Counts

1 382 → 86

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	78.1%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	61.3%	(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	58.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	58.6%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	62.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b))))
	57.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a))))
	98.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))
	98.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	61.2%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 b)))))
	56.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
	70.4%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	38.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
	39.1%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	38.8%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) #s(approx (cos b) #s(literal 1 binary64))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	62.6%	(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	58.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	78.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	58.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
▶	54.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
✓	59.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
▶	61.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
	56.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
	53.8%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.0%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
	53.9%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.3%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	55.3%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	53.9%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 r #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
	53.8%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 b (.f64 b #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.0%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
	78.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	60.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
	54.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))) (.f64 r (sin.f64 b))))
	98.5%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	98.3%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
	61.3%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
	98.4%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
	59.0%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) r)
	61.2%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
✓	99.5%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	54.1%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)))
	59.2%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 b (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))) (sin.f64 b))
▶	60.8%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
	54.4%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	54.5%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	54.4%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	57.8%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	98.4%	(.f64 (/.f64 r (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b))
	98.5%	(.f64 (/.f64 r (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b))
▶	99.5%	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
	45.3%	(.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
	78.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	31.6%	(.f64 (/.f64 r (cos.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))) (sin.f64 b))
	38.9%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (sin.f64 b))
	64.8%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
	56.8%	(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin (neg b)) (sin a))) (cos.f64 a))) (sin.f64 b))
	54.3%	(.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) (sin.f64 b))
✓	61.3%	(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
	35.6%	(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
	35.4%	(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
	35.9%	(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
	36.0%	(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
	36.0%	(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
	38.9%	(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
	78.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	78.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
	61.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r) (sin.f64 b))
	61.3%	(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
	61.3%	(.f64 (sin.f64 b) (/.f64 r (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
	61.3%	(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
	78.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	35.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	53.4%	#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
	53.4%	#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
✓	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	34.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	33.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	52.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
▶	28.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
✓	35.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

Compiler

Compiled 3 762 to 2 322 computations (38.3% saved)

simplify563.0ms (4.5%)

Memory

-7.2MiB live, 625.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
✓	cost-diff	0	(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))))
✓	cost-diff	0	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
✓	cost-diff	128	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))
✓	cost-diff	0	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
✓	cost-diff	0	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
✓	cost-diff	0	(sin.f64 b)
✓	cost-diff	0	(*.f64 r (sin.f64 b))
✓	cost-diff	0	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
✓	cost-diff	0	#s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
✓	cost-diff	0	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
✓	cost-diff	0	(*.f64 (cos.f64 b) (cos.f64 a))
✓	cost-diff	0	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
✓	cost-diff	0	(/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
✓	cost-diff	0	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))

Rules

19 756×	`lower-fma.f32`
19 746×	`lower-fma.f64`
3 862×	`lower-*.f32`
3 838×	`lower-*.f64`
2 440×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	431
0	88	431
1	145	427
2	241	427
3	487	422
4	1162	417
5	1783	417
6	2829	417
7	3795	417
8	4872	417
9	5761	417
10	6488	417
11	6911	417
12	7143	417
13	7345	417
14	7648	417
15	7723	417
16	7735	417
17	7739	417
18	7743	417
19	7743	417
20	7743	417
0	8590	413

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
r
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
(sin.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(*.f64 r b)
r
b
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
(cos.f64 b)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(cos.f64 a)
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
(cos.f64 b)
b
(cos.f64 a)
a
#s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))
(.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 a a)
#s(literal 1 binary64)
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 b)

Outputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
r
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
b
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
(sin.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 r (fma.f64 (.f64 a a) (*.f64 b #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
#s(approx (/ (* r b) (cos a)) (.f64 r (fma.f64 (.f64 a a) (*.f64 b #s(literal 1/2 binary64)) b)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(.f64 r (fma.f64 (.f64 a a) (*.f64 b #s(literal 1/2 binary64)) b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(*.f64 r b)
r
b
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
(cos.f64 b)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))
(fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(-.f64 (.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 (neg.f64 a))
(sin.f64 a)
a
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(cos.f64 a)
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
r
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(cos.f64 b)
b
(cos.f64 a)
a
#s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))
#s(approx (* (sin (neg b)) (sin a)) (.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))
(.f64 (sin.f64 b) (.f64 a (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))
(.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 a a)
#s(literal 1 binary64)
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 b)

localize336.0ms (2.7%)

Memory

12.5MiB live, 404.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
✓	accuracy	99.6%	(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
✓	accuracy	92.5%	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))
✓	accuracy	52.4%	#s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))
✓	accuracy	99.9%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
✓	accuracy	53.8%	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
✓	accuracy	100.0%	(cos.f64 b)
✓	accuracy	99.8%	(*.f64 r (sin.f64 b))
✓	accuracy	99.6%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
✓	accuracy	56.0%	#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	90.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
✓	accuracy	55.3%	#s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
✓	accuracy	53.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
✓	accuracy	99.8%	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
✓	accuracy	99.7%	(/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
✓	accuracy	99.7%	(*.f64 (sin.f64 a) (sin.f64 b))
✓	accuracy	99.6%	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))

Samples

148.0ms	179×	1	valid
80.0ms	77×	0	valid

Compiler

Compiled 328 to 48 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 37.0ms (26.9% of total)

ival-cos: 30.0ms (21.8% of total)

ival-sin: 17.0ms (12.3% of total)

ival-add: 15.0ms (10.9% of total)

adjust: 15.0ms (10.9% of total)

ival-div: 13.0ms (9.4% of total)

const: 6.0ms (4.4% of total)

ival-sub: 2.0ms (1.5% of total)

ival-neg: 2.0ms (1.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory

-0.8MiB live, 75.1MiB allocated

Counts

24 → 624

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))>
#<alt (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))>
#<alt (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))>
#<alt (*.f64 (cos.f64 b) (cos.f64 a))>
#<alt #s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))>
#<alt #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))>
#<alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))>
#<alt (/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))>
#<alt #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))>
#<alt (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))>
#<alt (.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))>
#<alt (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))))>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))>
#<alt (*.f64 (sin.f64 a) (sin.f64 b))>
#<alt (*.f64 a a)>
#<alt (cos.f64 b)>
#<alt (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))>
#<alt #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))>
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))>

Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (cos b))>
#<alt (+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
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#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (sin (neg b))>
#<alt (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b)))))>
#<alt (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b)))))>
#<alt (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b)))))>
#<alt (* -1/6 (* (pow a 2) (sin (neg b))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin (neg b))) (/ (sin (neg b)) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin (neg b))) (/ (sin (neg b)) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin (neg b))) (/ (sin (neg b)) (pow a 2))))>
#<alt (* -1/6 (* (pow a 2) (sin (neg b))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin (neg b))) (/ (sin (neg b)) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin (neg b))) (/ (sin (neg b)) (pow a 2))))>
#<alt (* (pow a 2) (+ (* -1/6 (sin (neg b))) (/ (sin (neg b)) (pow a 2))))>
#<alt (* -1 (* b (+ 1 (* -1/6 (pow a 2)))))>
#<alt (* b (+ (* -1 (+ 1 (* -1/6 (pow a 2)))) (* 1/6 (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))))>
#<alt (* b (+ (* -1 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (+ 1 (* -1/6 (pow a 2))))) (* 1/6 (+ 1 (* -1/6 (pow a 2))))))))>
#<alt (* b (+ (* -1 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* 1/6 (+ 1 (* -1/6 (pow a 2)))) (* (pow b 2) (+ (* -1/120 (+ 1 (* -1/6 (pow a 2)))) (* 1/5040 (* (pow b 2) (+ 1 (* -1/6 (pow a 2)))))))))))>
#<alt (* (sin (neg b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin (neg b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin (neg b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin (neg b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin (* -1 b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin (* -1 b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin (* -1 b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (* (sin (* -1 b)) (+ 1 (* -1/6 (pow a 2))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (cos a))>
#<alt (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ r (cos b))>
#<alt (+ (* -1 (/ (* a (* r (sin (neg b)))) (pow (cos b) 2))) (/ r (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (sin (neg b))) (pow (cos b) 2))) (* 1/2 (/ (* r (sin (neg b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (pow (sin (neg b)) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (/ (* r (sin (neg b))) (pow (cos b) 2)))) (/ r (cos b)))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* (cos a) (+ 1 (* -1/2 (pow b 2))))>
#<alt (* -1 (* b (sin a)))>
#<alt (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))>
#<alt (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* (sin a) (sin (* -1 b)))>
#<alt (* a (sin (neg b)))>
#<alt (* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))>
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))>
#<alt (* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt (* (sin a) (sin (neg b)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow a 2)))>
#<alt (+ 1 (* -1/6 (pow a 2)))>
#<alt (+ 1 (* -1/6 (pow a 2)))>
#<alt (* -1/6 (pow a 2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))>
#<alt (* -1/6 (pow a 2))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))>
#<alt (* (pow a 2) (- (/ 1 (pow a 2)) 1/6))>

Calls

156 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/ r (- (* (cos b) (cos a)) (* (sin a) (sin b))))
2.0ms	a	@	inf	(* (+ (* -1/2 (* b b)) 1) (cos a))
1.0ms	r	@	0	(* (+ (* 1/2 (* a a)) 1) (* r b))
1.0ms	r	@	0	(* (/ r (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b))
1.0ms	b	@	-inf	(* (/ r (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (sin b))

simplify393.0ms (3.2%)

Memory

-38.9MiB live, 551.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 148×	`lower-fma.f64`
12 148×	`lower-fma.f32`
7 130×	`lower-*.f64`
7 130×	`lower-*.f32`
3 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	512	8775
1	1776	8410
2	6454	8328
0	8351	8050

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 623

Calls

Call 1

Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
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(* -1/6 (pow a 2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(* -1/6 (pow a 2))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))

Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(.f64 b (fma.f64 (.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (-.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a))) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(.f64 b (fma.f64 b (fma.f64 b (fma.f64 (fma.f64 r (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (/.f64 (.f64 (neg.f64 (sin.f64 a)) (-.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)))) (cos.f64 a))) (neg.f64 b) (-.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)))) (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (.f64 r (.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 r #s(literal -1/2 binary64)) (sin.f64 (neg.f64 b))) (cos.f64 b))) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (fma.f64 (fma.f64 r (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 r #s(literal -1/2 binary64)) (sin.f64 (neg.f64 b))) (cos.f64 b)))) (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(fma.f64 (*.f64 r b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 b (fma.f64 b (-.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 b (fma.f64 b (+.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 a)) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (.f64 (.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (/.f64 (.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a)))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (cos b))
(/.f64 r (cos.f64 b))
(+ (/ r (cos b)) (/ (* a (* r (sin b))) (pow (cos b) 2)))
(fma.f64 (*.f64 r (sin.f64 b)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))))) (* -1 (/ (* r (sin b)) (pow (cos b) 2))))) (/ r (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 (fma.f64 (/.f64 (.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 r (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64)) (.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b))) (neg.f64 a) (-.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (.f64 r #s(literal -1/2 binary64)) (cos.f64 b)))) (/.f64 (.f64 r (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 r (cos.f64 b)))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
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(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(/ r (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (fma.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)) (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)))) (cos.f64 a))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* a (sin (neg b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(fma.f64 a (fma.f64 a (.f64 (cos.f64 b) #s(literal -1/2 binary64)) (.f64 (sin.f64 (neg.f64 b)) (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)))) (cos.f64 b))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(.f64 a (fma.f64 (.f64 a a) (.f64 (sin.f64 b) (fma.f64 (.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 (sin.f64 b) (fma.f64 (.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* b (sin a))
(*.f64 b (sin.f64 a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(.f64 b (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(.f64 b (fma.f64 (.f64 b b) (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 a)))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(.f64 b (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (.f64 (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 b b) (.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1/2 (* (pow b 2) (cos a)))
(.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(.f64 (.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(.f64 (.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(.f64 (.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* -1/2 (* (pow b 2) (cos a)))
(.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(.f64 (.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(.f64 (.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(* (pow b 2) (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))))
(.f64 (.f64 b b) (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))))
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* -1/2 (pow b 2))))
(fma.f64 a (.f64 a (fma.f64 (.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* 1/24 (* (pow a 2) (+ 1 (* -1/2 (pow b 2)))))))))
(fma.f64 (.f64 a a) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 a a) #s(literal -1/2 binary64))) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow b 2)) (* (pow a 2) (+ (* -1/2 (+ 1 (* -1/2 (pow b 2)))) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (+ 1 (* -1/2 (pow b 2))))) (* 1/24 (+ 1 (* -1/2 (pow b 2))))))))))
(fma.f64 b (.f64 b #s(literal -1/2 binary64)) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (.f64 (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 a a) #s(literal 1/24 binary64))) (fma.f64 (*.f64 b b) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos a) (+ 1 (* -1/2 (pow b 2))))
(.f64 (cos.f64 a) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* b (sin a)))
(neg.f64 (*.f64 b (sin.f64 a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(.f64 b (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(.f64 b (-.f64 (.f64 (.f64 b b) (.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) (sin.f64 a)))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(.f64 b (fma.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (.f64 b b) #s(literal -1 binary64)) (.f64 (.f64 (sin.f64 a) (fma.f64 (.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (.f64 b b) (.f64 b b)))))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (* -1 b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* a (sin (neg b)))
(neg.f64 (*.f64 (sin.f64 b) a))
(* a (+ (sin (neg b)) (* -1/6 (* (pow a 2) (sin (neg b))))))
(.f64 a (.f64 (sin.f64 (neg.f64 b)) (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* 1/120 (* (pow a 2) (sin (neg b))))))))
(.f64 a (fma.f64 (.f64 a a) (.f64 (sin.f64 (neg.f64 b)) (fma.f64 (.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 (neg.f64 b))))
(* a (+ (sin (neg b)) (* (pow a 2) (+ (* -1/6 (sin (neg b))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin (neg b)))) (* 1/120 (sin (neg b)))))))))
(.f64 a (fma.f64 (sin.f64 (neg.f64 b)) (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 (neg.f64 b)) (fma.f64 (.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 a a) (.f64 a a)))))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(* (sin a) (sin (neg b)))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow a 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow a 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow a 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(* -1/6 (pow a 2))
(.f64 #s(literal -1/6 binary64) (.f64 a a))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(* -1/6 (pow a 2))
(.f64 #s(literal -1/6 binary64) (.f64 a a))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(* (pow a 2) (- (/ 1 (pow a 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))

rewrite504.0ms (4.1%)

Memory

26.8MiB live, 467.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 866×	`lower-fma.f32`
4 856×	`lower-fma.f64`
4 714×	`lower-/.f32`
4 706×	`lower-/.f64`
4 682×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	338
0	88	317
1	304	285
2	2004	285
0	9293	285

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 501

Calls

Call 1

Inputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
(/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))))
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 a a)
(cos.f64 b)
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
#s(approx (* (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (.f64 (.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(.f64 (neg.f64 (.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 r (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 (sin.f64 b) (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 b a))))
(/.f64 r (cos.f64 (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 r))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) r) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 r) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) r) #s(literal -1 binary64)))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 r (+.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)))))))
(.f64 (/.f64 r (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(.f64 (/.f64 r (.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 r (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(+.f64 (.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (.f64 b b) (-.f64 a b)))) (.f64 (sin.f64 (/.f64 (.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (.f64 b b) (-.f64 a b)))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a))))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 a (neg.f64 b)))
(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b)))
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(/.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a)) (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 b b)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (.f64 (cos.f64 a) (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (cos.f64 a))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 a) #s(literal 1 binary64)) (.f64 (cos.f64 a) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b))) (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b)))) (.f64 (.f64 (cos.f64 a) #s(literal 1 binary64)) (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b))) (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b))) (-.f64 (.f64 (.f64 (cos.f64 a) #s(literal 1 binary64)) (.f64 (cos.f64 a) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b b))) (.f64 (cos.f64 a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 #s(literal 1 binary64) (cos.f64 a)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 #s(literal 1 binary64) (cos.f64 a))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (cos.f64 a)) (.f64 #s(literal 1 binary64) (cos.f64 a))))))
(.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a))
#s(approx (* (sin (neg b)) (sin a)) (.f64 (sin.f64 (neg.f64 b)) (.f64 a (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 a (.f64 a #s(literal -1/6 binary64))))
(+.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64)) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a #s(literal -1/6 binary64))))) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a #s(literal -1/6 binary64))))))
(fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 a (.f64 a #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 a a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 a (.f64 a #s(literal -1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 a #s(literal -1/6 binary64)) a #s(literal 1 binary64))
(fma.f64 (.f64 a #s(literal -1/6 binary64)) (.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64)) (.f64 a (*.f64 a #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64)) (.f64 a (*.f64 a #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64)) (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 a #s(literal -1/6 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (.f64 a #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/216 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 a (*.f64 a #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal -1/6 binary64)) #s(literal -1 binary64))))

eval342.0ms (2.8%)

Memory: -7.3MiB live, 311.5MiB allocated
Compiler: Compiled 28 197 to 2 375 computations (91.6% saved)

prune421.0ms (3.4%)

Memory

12.3MiB live, 445.7MiB allocated

Pruning

91 alts after pruning (81 fresh and 10 done)

	Pruned	Kept	Total
New	1 231	19	1 250
Fresh	13	62	75
Picked	1	4	5
Done	0	6	6
Total	1 245	91	1 336

Accuracy

100.0%

Counts

1 336 → 91

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	78.1%	(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
	61.3%	(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))))
✓	99.5%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	58.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	58.7%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
	62.4%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b))))
	57.8%	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a))))
	98.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))
	98.4%	(/.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))))
	99.3%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 (cos.f64 (-.f64 a b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	61.2%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 b)))))
	56.7%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
	70.4%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	38.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
	39.1%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	38.8%	(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) #s(approx (cos b) #s(literal 1 binary64))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	62.6%	(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	58.9%	(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
	78.9%	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
	58.5%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
✓	59.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
✓	61.3%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
	56.8%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
	36.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	35.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	36.0%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.9%	(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
	53.8%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.0%	(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
	53.9%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.3%	(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
	53.6%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
	35.7%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
	55.3%	(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
	53.9%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 r #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
	35.6%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
	53.8%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 b (.f64 b #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
	53.6%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
	35.4%	(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
	78.8%	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	60.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
	54.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))) (.f64 r (sin.f64 b))))
	98.5%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))
	98.3%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
	61.3%	(.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
	98.4%	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))))) (/.f64 r (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
	54.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))) r)
	59.0%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) r)
	61.2%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
	61.3%	(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r)
✓	99.5%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	54.1%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)))
	59.2%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 b (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))) (sin.f64 b))
✓	60.8%	(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
	54.4%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	54.5%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	54.4%	(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
	98.4%	(.f64 (/.f64 r (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b))
	98.5%	(.f64 (/.f64 r (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b))
✓	99.5%	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
	58.6%	(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
	62.4%	(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
	57.8%	(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
	45.3%	(.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
	78.8%	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
	31.6%	(.f64 (/.f64 r (cos.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))) (sin.f64 b))
	38.9%	(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (sin.f64 b))
	64.8%	(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
	56.8%	(.f64 (/.f64 r #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) (sin.f64 b))
✓	61.3%	(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
	78.8%	(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	61.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (*.f64 r (sin.f64 b)))
	78.9%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
	61.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r) (sin.f64 b))
	61.3%	(.f64 (sin.f64 b) (/.f64 r (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
	78.8%	(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
	35.5%	(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	28.5%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
	53.4%	#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
	53.4%	#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
✓	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
	34.0%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	33.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.1%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	52.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
	53.4%	#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
✓	28.7%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
	9.5%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
✓	35.6%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
	8.9%	#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))

Compiler

Compiled 4 673 to 1 709 computations (63.4% saved)

regimes310.0ms (2.5%)

Memory

-1.8MiB live, 316.7MiB allocated

Counts

140 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin (neg b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) (sin.f64 b))
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(.f64 (/.f64 r (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))) (sin.f64 b))
(.f64 (/.f64 r (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))) (sin.f64 b))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(.f64 (/.f64 r (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))))))) (sin.f64 b))
(.f64 (/.f64 r (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) a))))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)))))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) b))))))) (.f64 (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))) (-.f64 (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b))))))

Outputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))

Calls

4 calls:

83.0ms	r
83.0ms	a
76.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
61.0ms	b

Results

Accuracy	Segments	Branch
99.5%	1	`r`
99.5%	1	`a`
99.5%	1	`b`
99.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes265.0ms (2.1%)

Memory

22.5MiB live, 324.5MiB allocated

Counts

122 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin (neg b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r) (sin.f64 b))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (*.f64 r (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 (neg.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 (/.f64 r (cos.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))) (sin.f64 b))
(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))) (.f64 r (sin.f64 b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) #s(approx (cos b) #s(literal 1 binary64))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (sin.f64 b) (/.f64 r (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 b (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 b)))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 b (.f64 b #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)))
(/.f64 (.f64 r #s(approx (sin b) (.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 r #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))

Outputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))

Calls

4 calls:

89.0ms	a
60.0ms	b
57.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
53.0ms	r

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`r`
99.5%	1	`b`
99.5%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes262.0ms (2.1%)

Memory

-46.1MiB live, 338.2MiB allocated

Counts

120 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin (neg b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(.f64 (.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r) (sin.f64 b))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (*.f64 r (sin.f64 b)))
(.f64 r (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (neg.f64 r) (.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(.f64 (sin.f64 (neg.f64 b)) (.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ b a) (fma.f64 a (/.f64 b a) a)))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))))
(.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (-.f64 b a)))))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(.f64 (/.f64 r (cos.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a)))))) (sin.f64 b))
(.f64 (/.f64 r (cos.f64 (.f64 (/.f64 (+.f64 b a) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a)))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 a (sin.f64 b))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) a))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (.f64 b (sin.f64 a)))) (.f64 r (sin.f64 b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))) r)
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (neg.f64 (sin.f64 a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (.f64 (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) #s(approx (cos b) #s(literal 1 binary64))) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (.f64 r (.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 #s(approx (* (cos (- a b)) (cos (+ b a))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (sin.f64 b) (/.f64 r (.f64 #s(approx (cos (- a b)) (cos.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(.f64 (/.f64 r (-.f64 #s(approx ( (cos b) (cos a)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (cos.f64 b))) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx ( (cos a) (cos b)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 b (.f64 (sin.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64))))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) #s(approx (cos (- a b)) (cos.f64 b)))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx ( (sin (neg b)) (sin a)) (.f64 a (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 (neg.f64 b))))))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 b (.f64 b #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(.f64 (/.f64 (.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (- a b)) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 a (.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 b (.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b)))
(/.f64 (.f64 r #s(approx (sin b) (.f64 b (fma.f64 (.f64 b b) (fma.f64 b (.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(.f64 (/.f64 r (fma.f64 #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 a) (*.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 r #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))) #s(literal -1 binary64))

Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))

Calls

4 calls:

73.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
66.0ms	b
60.0ms	a
55.0ms	r

Results

Accuracy	Segments	Branch
78.9%	1	`r`
78.9%	1	`a`
78.9%	1	`b`
78.9%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes56.0ms (0.5%)

Memory

13.8MiB live, 171.7MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin (neg b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 a)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))

Outputs

(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))

(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))

(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))

Calls

4 calls:

14.0ms	r
13.0ms	b
13.0ms	a
13.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
61.3%	1	`r`
65.7%	3	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
79.1%	3	`a`
78.9%	3	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.1%)

Memory

2.4MiB live, 41.5MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (+ ( (cos b) (cos a)) (* (sin (neg b)) (sin a))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 r #s(approx (- ( (cos b) (cos a)) (* (sin a) (sin b))) (cos.f64 a))) (sin.f64 b))
(.f64 (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))) r)

Outputs

(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))

(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))

(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
79.1%	3	`a`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

Memory

-6.3MiB live, 69.0MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))
(.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))

Outputs

(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))

(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))

(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))

Calls

2 calls:

12.0ms	a
11.0ms	b

Results

Accuracy	Segments	Branch
78.9%	3	`b`
77.4%	3	`a`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes43.0ms (0.3%)

Memory

11.0MiB live, 90.7MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (fma.f64 b (*.f64 b #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 a b)))

Outputs

(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b)))

(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

4 calls:

12.0ms	a
10.0ms	r
9.0ms	b
9.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Accuracy	Segments	Branch
53.4%	1	`r`
53.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
53.4%	1	`a`
55.4%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-13.1MiB live, 25.8MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))
(/.f64 #s(approx (* r (sin b)) (.f64 r b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) (.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 r b))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 b (.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 r (.f64 #s(literal -1/6 binary64) (.f64 b b)) r))) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 #s(literal -1/6 binary64) (.f64 r (*.f64 b b)) r))) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 r #s(approx (sin b) (fma.f64 (.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b))) (cos.f64 (+.f64 a b)))
(.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) (fma.f64 (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (sin.f64 b))
(/.f64 (.f64 r (sin.f64 b)) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) #s(approx (cos b) (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) #s(approx (sin b) (fma.f64 (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b)))
(/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))

Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
55.3%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (*.f64 r (/.f64 b (cos.f64 a))))

Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))

Calls

2 calls:

4.0ms	b
4.0ms	r

Results

Accuracy	Segments	Branch
53.4%	1	`r`
53.4%	1	`b`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-1.0MiB live, 37.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))

Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))

Calls

4 calls:

5.0ms	a
3.0ms	r
3.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	b

Results

Accuracy	Segments	Branch
53.4%	1	`b`
53.4%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
53.4%	1	`a`
53.4%	1	`r`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.1%)

Memory

-21.6MiB live, 25.3MiB allocated

Accuracy

Total -17.5b remaining (-42.6%)

Threshold costs -17.5b (-42.6%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) #s(approx (* (+ (* 1/2 (* a a)) 1) (* r b)) (.f64 (.f64 (.f64 r (.f64 a a)) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 #s(approx (+ ( 1/2 (* a a)) 1) (.f64 (.f64 a a) #s(literal 1/2 binary64))) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a a) #s(literal 1 binary64)) (*.f64 r b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 a (.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 a (*.f64 a #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) #s(approx (cos a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))

Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

Calls

4 calls:

7.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms	b
3.0ms	a
3.0ms	r

Results

Accuracy	Segments	Branch
35.6%	1	`b`
35.6%	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`
35.6%	1	`a`
35.6%	1	`r`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7108054796768974e-8	1.7342752419538567
0.0ms	-1.0928435723438588e-5	-3.6192696958011704e-9

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7108054796768974e-8	1.7342752419538567
0.0ms	-1.0928435723438588e-5	-3.6192696958011704e-9

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3221743961904296e-5	1800196.5121617892
0.0ms	-4544.510770326978	-0.8810244285466258

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3221743961904296e-5	1800196.5121617892

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	377050612864.17194	1642745325504.4976

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify11.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	350
1	129	350
2	141	350
3	148	350
4	152	350
5	153	350

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(if (<=.f64 a #s(literal -5902958103587057/590295810358705651712 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 3022314549036573/151115727451828646838272 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -5902958103587057/590295810358705651712 binary64)) (.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 3022314549036573/151115727451828646838272 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 b #s(literal -4000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (cos.f64 (+.f64 a b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))))
(if (<=.f64 b #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)))
(if (<=.f64 b #s(literal 500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) (.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

Outputs
(.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (sin.f64 (neg.f64 b)) (sin.f64 a)))) (sin.f64 b))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(if (<=.f64 a #s(literal -5902958103587057/590295810358705651712 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 3022314549036573/151115727451828646838272 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -5902958103587057/590295810358705651712 binary64)) (/.f64 (.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a))) (if (<=.f64 a #s(literal 3022314549036573/151115727451828646838272 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))))))
(if (<=.f64 a #s(literal -5902958103587057/590295810358705651712 binary64)) (.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b)) (if (<=.f64 a #s(literal 3022314549036573/151115727451828646838272 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))))
(if (<=.f64 a #s(literal -5902958103587057/590295810358705651712 binary64)) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a)))) (if (<=.f64 a #s(literal 3022314549036573/151115727451828646838272 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))))))
(if (<=.f64 b #s(literal -4000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (cos.f64 (+.f64 a b))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))))
(if (<=.f64 b #s(literal -4000 binary64)) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ ( (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))) (if (<=.f64 b #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 (.f64 r #s(approx (sin b) (fma.f64 (fma.f64 b (.f64 b (fma.f64 b (.f64 b #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 b (.f64 b b)) b))) (cos.f64 (+.f64 b a))) (.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b))))))
(if (<=.f64 b #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)))
(if (<=.f64 b #s(literal 5902958103587057/295147905179352825856 binary64)) (/.f64 #s(approx (* r (sin b)) (.f64 b (fma.f64 (.f64 b b) (.f64 r (fma.f64 (.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) (*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal 500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) (.f64 (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64)))) (sin.f64 b)))
(if (<=.f64 b #s(literal 500000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (.f64 r b) (cos.f64 a))) (.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ b a)) #s(approx (cos b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 b (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (/ (* r b) (cos a)) (*.f64 r b)))

soundness1.0s (8.2%)

Memory

-1.3MiB live, 995.9MiB allocated

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
10 560×	`lower-fma.f64`
10 560×	`lower-fma.f32`
9 322×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	234
0	79	235
1	256	193
2	1667	193
0	8656	193
0	470	6113
1	1561	5786
2	5321	5621
0	8700	5419
0	167	960
1	517	928
2	1595	886
3	5409	885
0	8292	853
0	36	170
0	62	177
1	226	142
2	1554	134
0	9047	134
0	497	7388
1	1669	7030
2	5902	6791
0	8464	6563
0	8	19
0	13	19
1	44	19
2	234	19
3	2050	19
0	8441	19

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 789 to 388 computations (50.8% saved)

preprocess134.0ms (1.1%)

Memory: -3.4MiB live, 154.0MiB allocated
Remove: (negabs r)
Compiler: Compiled 596 to 258 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze335.0ms (2.7%)

sample1.8s (14.3%)

preprocess107.0ms (0.9%)

explain174.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize50.0ms (0.4%)

series13.0ms (0.1%)

simplify397.0ms (3.2%)

rewrite545.0ms (4.4%)

eval30.0ms (0.2%)

prune171.0ms (1.4%)

simplify199.0ms (1.6%)

localize285.0ms (2.3%)

series93.0ms (0.8%)

simplify353.0ms (2.9%)

rewrite348.0ms (2.8%)

eval287.0ms (2.3%)

prune246.0ms (2%)

simplify635.0ms (5.1%)

localize267.0ms (2.2%)

series31.0ms (0.3%)

simplify422.0ms (3.4%)

rewrite415.0ms (3.4%)

eval188.0ms (1.5%)

prune230.0ms (1.9%)

simplify563.0ms (4.5%)

localize336.0ms (2.7%)

series36.0ms (0.3%)

simplify393.0ms (3.2%)

rewrite504.0ms (4.1%)

eval342.0ms (2.8%)

prune421.0ms (3.4%)

regimes310.0ms (2.5%)

regimes265.0ms (2.1%)

regimes262.0ms (2.1%)

regimes56.0ms (0.5%)

regimes14.0ms (0.1%)

regimes25.0ms (0.2%)

regimes43.0ms (0.3%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.0s (8.2%)

preprocess134.0ms (1.1%)

end0.0ms (0%)

Profiling